Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1992-09-25
Physics
High Energy Physics
High Energy Physics - Phenomenology
Talk given at the XXVI Int. Conf. on High Energy Physics, August, 1992 LATEX file, 7 pages + 2 figures available upon request,
Scientific paper
10.1063/1.43441
Nontopological solitons, or ``bags,'' can arise when fermions acquire their mass through a Yukawa coupling to some scalar field. Bags have played an important role in models of baryons, nuclei, and more recently, in the idea that a Higgs condensate may form around a very heavy top quark. It has been claimed that deep bags, which correspond to tightly-bound states of fermions, will form when the Yukawa coupling is strong. Quantum corrections, however, are significant in this regime. We examine the effects of these quantum corrections on the formation of nontopological solitons in an exactly solvable large-$N$ model. We find that quantum bags differ dramatically from those of the classical theory. In particular, for large Yukawa coupling, the bags remain shallow and the fermions weakly bound.
Bagger Jonathan A.
Naculich Stephen G.
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